Two dice are thrown. The events A, B and C are as follows:
A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice 5.

Describe the events

(i) A’

(ii) not B

(iii) A or B

(iv) A and B

(v) A but not C

(vi) B or C

(viii) A B’ C’

Question

Philoid · Accepted Answer

Here 2 dice are thrown

So the sample space (S) will have following events

According to the given conditions

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5

Now

(ii) = A

(iv) A and B (A ∩ B) = ϕ

∴ A ∩ B’ ∩ C’ = A ∩ A ∩ C’ = A ∩ C’

Two dice are thrown. The events A, B and C are as follows:A: getting an even number on the first die.B: getting an odd number on the first die.C: getting the sum of the numbers on the dice 5.Describe the events(i) A’(ii) not B(iii) A or B(iv) A and B(v) A but not C(vi) B or C(viii) A B’ C’